Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
y = 180° - (55 + 41)° = 180° - 96° = 84°
z and y are adjacent angles and supplementary, thus
z = 180° - 84° = 96°
x and 109° are alternate exterior angles and congruent, thus
x = 109°
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Answer:
x = -7
x = 5
Step-by-step explanation:
The standard form of quadratic equations is
Ax^2 + Bx + C = 0
The factors need to multiply together to be C and add together to be B.
The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.
The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.
x + 7 = 0
-7 -7 Subtract 7 from each side to solve
x = -7
x - 5 = 0
+5 +5 Add 5 to each side to solve
x = 5
Answer:
P = 157.5 units
Step-by-step explanation: